An entropic analogue of the MMS conjecture

Jianhang Ai, Ondřej Kuželka, Christos Pelekis

Let $P=\{x_1,\dots ,x_n\}$ be a multiset consisting of $n\ge 2$ real numbers such that ${\sum }_{i=1}^n{x}_i=0$ and ${\sum }_{i=1}^n|x_i|>0$, and let $k<n$ be a positive integer. We s…